Definition of Censored Dependent Variables:
A dependent variable in a model is censored if observations of it cannot be
seen when it takes on vales in some range. That is, the independent
variables are observed for such observations but the dependent variable is
not.
A natural example is that if we have data on consumers and prices paid for
cars, if a consumer's willingness-to-pay for a car is negative, we will see
observations with consumer information but no car price, no matter how low car
prices go in the data. Price observations are then censored at zero.
Contrast truncated dependent variables.
(Econterms)
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